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math.CO2024
Chromatic and achromatic numbers of unitary addition Cayley graphs
Keenan Calhoun, Yeşim Demiroğlu Karabulut, Vincent Pigno +1
Let be a ring. The unitary addition Cayley graph of , denoted , is the graph with vertex , and two distinct vertices and are adjacent if and only…
math.CO2024
Hypergraphs of girth 5 and 6 and coding theory
Kathryn Haymaker, Michael Tait, Craig Timmons
In this paper, we study the maximum number of edges in an -vertex -uniform hypergraph with girth where . Writing f…